Add 21/84 and 90/49, Solve 21/84 + 1 41/49 as a fraction

Add 21/84 and 90/49

1^st number: 21/84, 2^nd number: 1 41/49

21/84 + 90/49 is 409/196.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588

Next, find the equivalent fraction of both fractional numbers with denominator 588
For the 1st fraction, since 84 × 7 = 588,
21/84 = 21 × 7/84 × 7 = 147/588
Likewise, for the 2nd fraction, since 49 × 12 = 588,
90/49 = 90 × 12/49 × 12 = 1080/588
Add the two like fractions:
147/588 + 1080/588 = 147 + 1080/588 = 1227/588
1227/588 simplified gives 409/196
So, 21/84 + 90/49 = 409/196
In mixed form: 217/196

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad